Functional Change of Variables in the Wheeler--De Witt Equation

Details Functional Change of Variables in the Wheeler--De Witt Equation Functional Change of Variables in the Wheeler--De Witt Equation

1993-04-30

arxiv.org/abs/gr-qc/9304045v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, no figures. Plain tex

Scientific paper

I present a new way to solve the Wheeler--de Witt equation using the invariance of the classical lagrangian under reparametrization. This property allows one to introduce an arbitrary function for each degree of freedom of the wave function $\Psi$: this arbitrariness can be used to fix the asymptotic behaviour of $\Psi$ so as to obtain a wave function representing a closed universe or a wormhole. These considerations are applied in detail to the Kantowsky--Sachs spacetime.

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